A central moments model for shallow water equations: Convergence analysis

In this report we provide first results about the study of a novel central moments MRT model, in order to solve shallow water equations with Lattice Boltzmann method. The asymptotic behaviour of the viscosity and the Galilean invariance of the adopted scheme was evaluated using the test of the one-dimensional decaying wave, under the so-called diffusive scale.In this report we provide first results about the study of a novel central moments MRT model, in order to solve shallow water equations with Lattice Boltzmann method. The asymptotic behaviour of the viscosity and the Galilean invariance of the adopted scheme was evaluated using the test of the one-dimensional decaying wave, under the so-called diffusive scale.